Recently Active Mathematics Questions

A+B+C= π prove that \cot(A/2)+\cot(B/2)+\cot(B/2)=\cot(A/2)\cot(B/2)\cot(C/2) ...

Another IIT JEE question inspired! f(x) = sin2x + sin2(x+pi/3) + cos x cos (x+pi/3) find f(2) ...

Prove: cot A - tan A = 2 cot 2A Hence prove tan A+2tan2A+4tan4A+8 Cot 8A =Cot A ...

T is a parallelopipe in which A, B, C ,and D are the vertices of one face. And the face just above it has corresponding vertices A`, B`, C`, D`. T is now compressed to S with face ABCD remaining same and A`, B`, C`, D` shifte ...

\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4} and \frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1} intersect find the vlaue of k! ...

Value of K such that \frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2} lies in the plane 2x-4y+z=7 is ...

S-I if |z1-1|<4 , |z2-2|<5, |z3-3|<6 then |z1+z2+z3|< 21 s-II |z1+z2|≤|z1|+|z2| ...

Given are two curves x2/a2 +y2/63 =1 and y2=4x The maximum integral value of a for which there is only one common normal to the two curves is: A. 7 B. 8 C. 9 D. 10 pls help!! ...

If α, β,γ are the cube roots of p,(p<0), then for any x,y,z (α*x+β*y+γ*z)/(β*x+γ*y+α*z) is equal to (A) α *ω+β*ω2+γ (B) α*β*γ (c) ω,ω2 (d) none ...

An unbiased die, with faces numbered 1,2,3,4,5,6 is thrown five times and list of five no.s showing up is noted, then... 1) The probability that among the no.s 1 to 6, only four no.s appear in d list is... a) 883/7776 b) 3600 ...

THE AREA ENCLOSED BETWEEN y2=x AND THE LINE x+y=2. me getting 7/6+something/2 [266] [265] [264][262][269] ...

If a1,a2,a3..............an are n postive numbers in arithmetic progression with common difference d≠0 and Sn = a1 + a2 + ... + an a. Sn __ n - 2(√a1 + √a2 +...+√an) (>,<,=,≤,≥ or cannot say) b. 2Sn2 > (n ...

if p is the perepndicular distnce of an angular point of cube of each side to 47 from diagonal wich does nt pass thru that angular point ,then 3p^2 is equal to ?? ...

if a1,a2....a2n form a decreasing A.P then a12-a22+a32-a42...............-a2n2= a)n(a12-a2n2)/2n-1 b)2n(a12-a2n2)/2n-1 c)2n(a12-an2)/n-1 d)n(a12-a2n2)/n+1 ...

the number of terms of expansion with reational co-efficients in the expansion of ( 5 + 3 +z)6 is a) 7 b) 6 c)8 d)9 ...

the least value of r for which the two curves argz=-∩/6 and |z+2 3 i|=r have atl;east one point in common is a) 3 b)1/ 3 c)3 d)2 ...

Q. what will be the condition if both roots are negative ? answer given 1. D> 0 2. a f (0) >0 3. -b/2a >0............................. is the 3rd point corect ? i feel it wil be -b/2a < 0.. pls tel me the answer n ...

if x,y,z are positive then minimum value of xlog2y-log3z+2ylog3z-logx+3zlogx-log2y a)1 b)12 c)3 d)6 ...

if A and B are the roots of px2+qx+r=0 where 1<A<B then lim x→n |px2+qx+r|/px2+qx+r =1 when a) p<0 and A<n<B b)p>0 and n>1 c)p<0 and n>1 d)|p|/p=1 and n>A ...

if ( 3 +i)n=2n then n is a) an integral multiple of 12 b)an integral multiple of 5 c)an integral multiple of 8 d)none ...

1)Find the smallest natural number which leaves remainder 4,6,10,1 when divided by 5,7,11 and 13 respectively. 2) xy+yz+zx=1 then prove that (1+x^2)(1+y^2)(1+z^2)=(x+y)^2(y+z)^2(z+x)^2 ...

55> ORIGIN is an interior point of an ellipse wose foci correspond to the complex numbers z1 and z2 . Then the eccentricity of the ellipse is : *Image* 218> A die is thrown as long as necessary for one ace or six to tur ...

the coeff of x14 in the product (1-x)(1-2x)(1-22x)......(1-215x) is equal to, given that 1 + \frac{1}{2} + \frac{1}{2^{2}} + \frac{1}{2^{3}}.... + \frac{1}{2^{15}}= a and 1 + \frac{1}{2^{2}} + \frac{1}{2^{4}}.... + \frac{1}{2 ...

exercise 13.4 q3) let x represent difference b/w no. of heads and no. of tails obtained when a coin is tossed 6 times.what are possible values of x? q12 ) 2 numbers are selceted at random from first 6 positive integers withou ...

if a1,a2,a3..............an ar n postive numbers in arthmetic progression with common difference d≠0 and sn= \Sigma r=1 to n ar, then a) sn>n x nth root of a1a2an b)sn>n a1 an c)sn>n 2a1(n-1)d d)sn>2[ a1a2 + a3a ...

cos-1(x2-1 / x2+1) + 1/2 * tan-1(2x/1-x2) = 2Ï€/3. Solve for x ...

Form the differential equation satisfied by [1 – x2]1/2 + [1 – y2]1/2 = a.(x – y), a is an arbitrary constant. ...

∫1/(x2+1)(x4+1) ...

A candidate is required to answer 7 out of 12 questions which are divided into two parts A and B , each containing 6 questions . he is not permited to answer more than 5 questions from either part , The number of ways , he ca ...

if 1>=a>=b>=c>=0 & λ is a real root of the equation x3+ax2+bx+c =0 then max. value of modulus λ is ? a)1 b)1.5 c)2 d)0.5 ...